Answer the following questions about the variables X3 and X5 from the American Cities database.
a. Plot the scatter diagram of X3 and X5 and find the value of R. What information do these convey?
b. Is there a significant relationship between these two variables? Explain.
c. Determine the least squares regression equation for predicting X3 from X5.
d. What is the value of the coefficient of determination 
, and what does it tell us?
e. Find a 95% confidence interval for 
, the slope of the true regression line.
f. Why is the significance of B the same as the significance of R? What does it mean?
g. Find the expected value of X3 if X5 is $48,500.
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